Space boundary values and correct expansions of the Hermitian operators

The concept of space of boundary values (SBV) is extended to the case of Hermitian, non-densely defined operators with distinct defect numbers. The properties of such SBV are investigated. The obtained results are applied to the investigation of regular (in particular, dissipative) extensions of Her...

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Datum:1990
Hauptverfasser: Kuzhel, S. A., Кужель, С. А.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1990
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/8853
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
Beschreibung
Zusammenfassung:The concept of space of boundary values (SBV) is extended to the case of Hermitian, non-densely defined operators with distinct defect numbers. The properties of such SBV are investigated. The obtained results are applied to the investigation of regular (in particular, dissipative) extensions of Hermitian operators of the indicated form.